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Simplifying 5x2 + -10 = 9x + 4 Reorder the terms: -10 + 5x2 = 9x + 4 Reorder the terms: -10 + 5x2 = 4 + 9x Solving -10 + 5x2 = 4 + 9x Solving for variable 'x'. Reorder the terms: -10 + -4 + -9x + 5x2 = 4 + 9x + -4 + -9x Combine like terms: -10 + -4 = -14 -14 + -9x + 5x2 = 4 + 9x + -4 + -9x Reorder the terms: -14 + -9x + 5x2 = 4 + -4 + 9x + -9x Combine like terms: 4 + -4 = 0 -14 + -9x + 5x2 = 0 + 9x + -9x -14 + -9x + 5x2 = 9x + -9x Combine like terms: 9x + -9x = 0 -14 + -9x + 5x2 = 0 Factor a trinomial. (-1 + -1x)(14 + -5x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(14 + -5x)' equal to zero and attempt to solve: Simplifying 14 + -5x = 0 Solving 14 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -5x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -5x = 0 + -14 -5x = 0 + -14 Combine like terms: 0 + -14 = -14 -5x = -14 Divide each side by '-5'. x = 2.8 Simplifying x = 2.8Solution
x = {-1, 2.8}
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